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Finding the Fourth Proportional to 683.47, 1,024.48 and 340.75

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Solution

The fourth proportional to 683.47, 1,024.48 and 340.75 is: 510.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.47 : 1,024.48 = 340.75 : x
  2. Step 2: Convert to fraction form
    683.47/1,024.48 = 340.75/x
  3. Step 3: Cross multiply
    683.47x = 1,024.48 × 340.75
  4. Step 4: Simplify right side
    683.47x = 349,091.56
  5. Step 5: Solve for x
    x = 349,091.56/683.47
  6. Step 6: Final answer
    x = 510.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.